Find the values of x and y that make these triangles congruent by the HL Theorem.
X = 2, Y = 1
X = 3, y = 2
X=1, y = 2
X = 2, y = 3

9514 1404 393

  (b)  x = 3, y = 2

Step-by-step explanation:

In order for the triangles to be congruent by the HL theorem, the hypotenuses must be congruent:

  3y = x+3

and the corresponding legs must be congruent:

  y +1 = x

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We can solve this set of equations by substituting for x:

  3y = (y +1) +3

  2y = 4 . . . . . . . .subtract y

  y = 2 . . . . . . . . .divide by 2

  2+1 = x = 3 . . . substitute for y in the equation for x

The solution is (x, y) = (3, 2).

circle area = pi * radius^2

if diameter = 10 then radius = 5

circle area = pi * 5^2

circle area = pi * 25

circle area = 78.5398163397 square units

step-by-step explanation:

15: 24

62.5%

step-by-step explanation: